Klimaszewska Katarzyna, Zebrowski Jan J
Physics of Complex Systems, Faculty of Physics, Warsaw University of Technology, ulica Koszykowa 75, 00-662 Warszawa, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 2):026214. doi: 10.1103/PhysRevE.80.026214. Epub 2009 Aug 25.
One of the common routes to chaos is intermittency. Identification of the intermittency type is usually made using the properties of the probability distribution of laminar phases and of the average length of the laminar phases. Both have a statistical character and to obtain them a long time series has to be examined. Here, we present a recurrence plot method applicable to the analysis of short time series and through which the type of intermittency may be identified. The three types of intermittency introduced by Pomeau and Manneville and a chaos-chaos intermittency induced by interior crisis were examined. The identification of the type of intermittency is equivalent to the identification of the bifurcation associated with it. Our result seems particularly interesting as our method allows the analysis of short time series. The effect of the measurement noise on the effectiveness of the method is also discussed. An application of the method to the detection of type I intermittency in measured heart rate variability data is discussed.
通向混沌的常见途径之一是间歇性。间歇性类型的识别通常利用层流相概率分布的特性以及层流相的平均长度来进行。这两者都具有统计特征，并且为了获得它们必须检查一个长时间序列。在这里，我们提出一种适用于短时间序列分析的递归图方法，通过该方法可以识别间歇性类型。我们研究了由庞加莱和曼内维尔提出的三种间歇性类型以及由内部危机引发的混沌 - 混沌间歇性。间歇性类型的识别等同于与其相关联的分岔的识别。我们的结果似乎特别有趣，因为我们的方法允许对短时间序列进行分析。还讨论了测量噪声对该方法有效性的影响。讨论了该方法在检测实测心率变异性数据中的I型间歇性方面的应用。
